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3 years ago

Solve |y + 2| > 6 {y|y 4} {y|y 4} {y|y 6}

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

y >4

Step-by-step explanation:

(y + 2) > 6

y + 2-2>6-2

y > 4

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You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c

goldfiish [28.3K]

Answer: 9 inches

Explaination: The volume of a cylinder, V = (πr^2)H, so H = V/(πr^2).

Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches

4 0

3 years ago

Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what

Vlada [557]

Answer:

5:00 pm

Step-by-step explanation:

Let

x -----> the umber of hours

y ----> the total distance in miles

we know that

The distance is equal to the speed multiplied by the time

Find out the distance traveled by Ariel at 11:00 am

11:00 am-09:00 am=2 hours

45(2)=90 miles

<em>Ariel's linear equation is</em>

$y=45x+90$ ----> equation A

<em>Ariel's brother linear equation is</em>

$y=60x$ ----> equation B

Equate equation A and equation B

$60x=45x+90$

Solve for x

$60x-45x=90$

$15x=90$

$x=6\ hours$

Adds 11:00 am + 6 hours=17:00 =5:00 pm

6 0

3 years ago

Simplify 〖3m〗^8 n^3÷(〖3m〗^8 n^3 )^0

vovangra [49]

$6561m^{8}n^{3}$

3 0

3 years ago

Check if given set of numbers 6,8,10 forms pythagorean triplet or not?

kipiarov [429]

$\LARGE{ \underline{ \tt{Required \: answer:}}}$

We know that,

Pythagoras theoram is given by : p² + b² = h²

In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.

Then,

We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.

Sum of squares of smaller sides:

= 6² + 8²

= 36 + 64

= 100

Square of longer side:

= 10²

= 100

Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.

And we are done! :D

⛱️ $\large{ \blue{ \bf{FadedElla}}}$